On the impact of f(Q) gravity on the large scale structure

We investigate the exponential f(Q) symmetric teleparallel gravitation, namely f(Q) = Q +alpha Q(0)(1 - e(-beta root Q/Q0)) using ME-GADGET code to probe the structure formation with box sizes L-Box = 10/100 Mpc h (-1) and middle resolution N-p(1/3) = 512. To reproduce viable cosmology within the aforementioned modified gravity theory, we first perform Markov Chain Monte Carlo (MCMC) sampling on OHD/BAO/Pantheon data sets and constrain a parameter space. Furthermore, we also derive theoretical values for deceleration parameter q(z), statefinder pair {r, s} and ef fecti ve gravitational constant G(eff,) perform Om(z) diagnostics. While carrying out N-body+SPH simulations, we derive CDM+baryons over density/temperature/mean molecular weight fields, matter power spectrum (both 2/3D, with/without redshift space distortions), bispectrum, two-point correlation function and halo mass function. Results for small and big simulation box sizes are therefore properly compared, halo mass function is related to the Seth-Tormen theoretical prediction and matter power spectrum to the standard CAMB output.